Locally semisimple and maximal subalgebras of the finitary Lie algebras gl ( ∞ ) , sl ( ∞ ) , so ( ∞ ) , and sp ( ∞ )
نویسندگان
چکیده
We describe all locally semisimple subalgebras and all maximal subalgebras of the finitary Lie algebras gl(∞), sl(∞), so(∞), and sp(∞). For simple finite–dimensional Lie algebras these classes of subalgebras have been described in the classical works of A. Malcev and E. Dynkin.
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